One use of the chi-square goodness-of-fit test is to determine if specified multinomial probabilities in the null hypothesis are correct.

Question

Quizplus · Accepted Answer

This is a correct statement about the chi-square goodness-of-fit test. The test determines if observed counts in different categories significantly differ from expected counts under the assumption that specified probabilities in the null hypothesis are correct. The test statistic measures the sum of squared differences between observed and expected counts, standardized by their expected values, and it follows a chi-square distribution with degrees of freedom equal to the number of categories minus one. A small p-value for the test indicates that the null hypothesis is unlikely to be true, leading to the rejection of the null hypothesis in favor of an alternative hypothesis that specifies different probabilities for the categories.

One Use of the Chi-Square Goodness-Of-Fit Test Is to Determine